Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/65,870/5762
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 627,870
Greatest Common Factor of Numerators i.e. GCF of 627,870 is 3 .
LCM of Denominators means LCM of 65,5762 as per the given fractions.
LCM of 65,5762 is 374530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,870
3 | 627, 870 |
209, 290 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 627,870 . The biggest common factor number is the GCF number.
So the greatest common factor 627,870 is 3.
Lets's calculate LCM of 65,5762
Given numbers has no common factors except 1. So, there LCM is their product i.e 374530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/374530
Therefore, the GCF of Fractions 627/65,870/5762 is 3/374530
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 65,5762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,5762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,5762) x common factors =1 x 1 = 1
LCM(65,5762) = ( 65 × 5762 ) / 1
LCM(65,5762) = 374530 / 1
LCM(65,5762) = 374530
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 627/65, 870/5762?
Answer: GCF of Numerators as per given numbers 627/65, 870/5762 is
GCF of Numerators i.e. for 627,870 is 3
LCM of denominators i.e. for 65,5762 is 374530.
Thus, GCF of Fractions is 3/374530.Finally, GCF of Fractions for 627/65, 870/5762 is 3/374530.